Econodynamics is the application of the mathematics of dynamic statistical mechanics and chaos to the study of economics.

There
are seven papers available to download on this site.

'Why
Money Trickles Up' - This is the full text which includes detailed explanation,
justification and background material. This document has 250 pages of text.

'Why
Money Trickles Up - Bullet Points' - This document gives an overview of the main points of the modelling and theory
of Why Money Trickles Up in a brief format.

'Why Money
Trickles Up - Wealth & Income Distributions' - This is a condensed version
of the first part of the full document. This includes the main details of the modelling
and core mathematics. It also gives the full explanations of wealth and income distributions. This document
has 45 pages of text.

'Why Money Trickles Up - Companies, Commodities and Macroeconomics'
- This is a condensed version of the second part of the full document. This covers the structure and results of the models
for company size distributions and for dynamic pricing in commodities and economies as a whole. This document has 37 pages
of text.

'The Bowley Ratio' - This is a brief extract from the second part of the
full document. It gives a full explanation of the constant ratio of labour share in
national income. This document has six pages of text.

'Pricing,
Liquidity & the Control of Dynamics Systems in Finance & Economics' - Is
a discussion of practical issues that arise from treating economics as a dynamic system. This document has 29 pages
of text.

'Wealth, Income,
Earnings & the Statistical Mechanics of Flow Systems' - discusses
economics as an example of an out of equilibrium thermodynamic
system that may be exactly soluble. This document has 25 pages of text.

This paper combines ideas
from classical economics and modern finance with Lotka-Volterra models, and also the general Lotka-Volterra models of Levy
& Solomon to provide straightforward explanations of a number of economic phenomena.

Using a simple and realistic
economic formulation, the distributions of both wealth and income are fully explained. Both the power tail and the log-normal
like body are fully captured. It is of note that the full distribution, including the power law tail, is created via the use
of absolutely identical agents. It is further demonstrated that a simple scheme of compulsory saving could eliminate poverty
at little cost to the taxpayer. Such a scheme is discussed in detail and shown to be practical.

Using similar simple
techniques, a second model of corporate earnings is constructed that produces a power law distribution of company size by
capitalisation.

A third model is produced to model the prices of commodities such as copper. Including a delay to capital
installation; normal for capital intensive industries, produces the typical cycle of short-term spikes and collapses seen
in commodity prices.

The fourth model combines ideas from the first three models to produce a simple Lotka-Volterra
macroeconomic model. This basic model generates endogenous boom and bust business cycles of the sort described by Minsky and
Austrian economists.

From this model an exact formula for the Bowley ratio; the ratio of returns to labour to total
returns, is derived. This formula is also derived trivially algebraically. This derivation is extended to a model including
debt, and it suggests that excessive debt can be economically dangerous and also directly increases income inequality.

Other
models are proposed with financial and non-financial sectors and also two economies trading with each other. There is a brief
discussion of the role of the state and monetary systems in such economies.

The second part of the paper discusses the
various background theoretical ideas on which the models are built.

This includes a discussion of the mathematics of
chaotic systems, statistical mechanical systems, and systems in a dynamic equilibrium of maximum entropy production.

There
is discussion of the concept of intrinsic value, and why it holds despite the apparent substantial changes of prices in real
life economies. In particular there are discussions of the roles of liquidity and parallels in the fields of market-microstructure
and post-Keynesian pricing theory.

Abstract - Wealth & Income DistributionsThis paper combines ideas from classical economics and modern finance with the general Lotka-Volterra models
of Levy & Solomon to provide straightforward explanations of wealth and income distributions. Using a simple and realistic
economic formulation, the distributions of both wealth and income are fully explained. Both the power tail and the log-normal
like body are fully captured. It is of note that the full distribution, including the power law tail, is created via the
use of absolutely identical agents. It is further demonstrated that a simple scheme of compulsory saving could eliminate
poverty at little cost to the taxpayer.

Abstract - Companies,
Commodities and MacroeconomicsThis paper combines ideas from classical
economics and modern finance with Lotka-Volterra models, and also the general Lotka-Volterra models of Levy & Solomon
to provide straightforward explanations of a number of economic phenomena.

Using a simple and realistic economic formulation, a
model of corporate earnings is constructed that produces a power law distribution of company size by capitalisation. A second
model is produced to model the prices of commodities such as copper. Including a delay to capital installation; normal for
capital intensive industries, produces the typical cycle of short-term spikes and collapses seen in commodity prices.

The third model combines previous
ideas to produce a simple Lotka-Volterra macroeconomic model. This basic model generates endogenous boom and bust business
cycles of the sort described by Minsky and Austrian economists. From this model an exact formula for the Bowley ratio; the
ratio of returns to labour to total returns, is derived. This formula is also derived trivially algebraically. This derivation
is extended to a model including debt, and it suggests that excessive debt can be economically dangerous and also directly
increases income inequality.

Abstract - Pricing, liquidity and
the control of dynamic systems in finance and economics

The paper discusses
various practical consequences of treating economics and finance as an inherently dynamic and chaotic system. On the theoretical
side this looks at the general applicability of the market-making pricing approach to economics in general. The paper also
discuses the consequences of the endogenous creation of liquidity and the role of liquidity as a state variable. On the practical
side, proposals are made for reducing chaotic behaviour in both housing markets and stock markets.

This paper looks at empirical
data from economics regarding wealth, earnings and income, alongside a flow model for an economy based on the general Lotka-Volterra
models of Levy & Solomon. The data and modelling suggest that a simple economic system might provide a tractable model
for giving an exact statistical mechanical solution for an 'out of equilibrium' flow model. This might also include
an exact mathematical definition of a 'dissipative structure' derived from maximum entropy considerations. This paper
is primarily a qualitative discussion of how such a mathematical proof might be achieved.